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Finding the Fourth Proportional to 330.89, 495.97 and 215.42

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Solution

The fourth proportional to 330.89, 495.97 and 215.42 is: 322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.89 : 495.97 = 215.42 : x
  2. Step 2: Convert to fraction form
    330.89/495.97 = 215.42/x
  3. Step 3: Cross multiply
    330.89x = 495.97 × 215.42
  4. Step 4: Simplify right side
    330.89x = 106,839.65
  5. Step 5: Solve for x
    x = 106,839.65/330.89
  6. Step 6: Final answer
    x = 322.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.